PermutationProduct[a, b, c] gives the product of permutations a, b, c.

Expressions are the main type of data in Mathematica. Expressions can be written in the form h[e_1,e_2,…]. The object h is known generically as the head of the expression. ...

On most computer systems, you can execute external programs or commands from within Mathematica. Often you will want to take expressions you have generated in Mathematica, ...

Mathematica's unique symbolic architecture makes it easy to add toolbars with any possible appearance and action to a Mathematica notebook. The ruler is a toolbar used to set ...

Implicit Runge–Kutta methods have a number of desirable properties. The Gauss–Legendre methods, for example, are self-adjoint, meaning that they provide the same solution ...

The functions FindMinimum, FindMaximum, and FindRoot have the HoldAll attribute and so have special semantics for evaluation of their arguments. First, the variables are ...

Module and With allow you to give a specific list of symbols whose names you want to treat as local. In some situations, however, you want to automatically treat certain ...

The raw SQL command DELETE deletes data from a database. An alternative is to use the Mathematica command SQLDelete, described in "Deleting Data". If you find that the ...

The Wolfram Lightweight Grid System provides functions for launching and managing remote kernels, one part of a complete Mathematica^® parallel computing environment. With ...

Building large software systems in Mathematica should follow the general principles that apply to building any large software system. The details may be unique to Mathematica ...